@inproceedings{7d311c21b9034a25a56b1f1fb51e55e4,
title = "A reduced-basis approach to two-phase flow in porous media",
abstract = "Reduced-basis methods (RB) have demonstrated their efficiency for a wide variety of problems, most of which are elliptic PDEs solved by finite element methods. In this work, we attempt to apply the RB philosophy to a simple “real-life” model for two-phase flows in porous media, whose reference scheme is a finite volume method. This model is parameterized by the viscosity of water. Because of the mixed parabolic-elliptic nature of the system, we first propose to restrict the RB approach to the pressure subsystem corresponding to the end time. The resulting parametric dependence is, however, much more intricate than in the classical examples. This difficulty will be discussed and illustrated by numerical results.",
keywords = "Aposteriori error estimate, Empirical interpolation, Finite volumes, Reduced-basis, Two-phase flow",
author = "S{\'e}bastien Boyaval and Guillaume Ench{\'e}ry and Riad Sanchez and Tran, \{Quang Huy\}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017 ; Conference date: 12-06-2017 Through 16-06-2017",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-57394-6\_50",
language = "English",
isbn = "9783319573939",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "477--486",
editor = "Pascal Omnes and Clement Cances",
booktitle = "Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017",
}